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Finding the Third Proportional to 509,517 and 1,110,592

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Solution

The third proportional to 509,517 and 1,110,592 is: 2,420,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,517 : 1,110,592 = 1,110,592 : x
  2. Step 2: Convert to fraction form
    509,517/1,110,592 = 1,110,592/x
  3. Step 3: Cross multiply
    509,517x = 1,110,592 × 1,110,592
  4. Step 4: Simplify right side
    509,517x = 1,233,414,590,464
  5. Step 5: Solve for x
    x = 1,233,414,590,464/509,517
  6. Step 6: Final answer
    x = 2,420,752.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.